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Finding the Fourth Proportional to 6,098.40, 9,136.80 and 5,407.20

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Solution

The fourth proportional to 6,098.40, 9,136.80 and 5,407.20 is: 8,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.40 : 9,136.80 = 5,407.20 : x
  2. Step 2: Convert to fraction form
    6,098.40/9,136.80 = 5,407.20/x
  3. Step 3: Cross multiply
    6,098.40x = 9,136.80 × 5,407.20
  4. Step 4: Simplify right side
    6,098.40x = 49,404,504.96
  5. Step 5: Solve for x
    x = 49,404,504.96/6,098.40
  6. Step 6: Final answer
    x = 8,101.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.